Pentagon Angle Theorems

[color=#000000]Interact with the applet below for a few minutes.  [br]Then, answer the questions that follow.  [br][br]Be sure to change the locations of the pentagon's [b]BIG BLACK VERTICES[/b] each time [i]before[/i] you drag the slider!!! [br][br]Note: The points on the pentagon's sides are [i]midpoints. [br][br][/i]Also note: [b]For interior angles[/b], you can make either the [/color][color=#ff00ff][b]pink[/b][/color][color=#000000] or [/color][color=#38761d][b]green[/b][/color][color=#000000] angle measure greater than 180 degrees (if you'd like)! [/color]
[b][color=#980000]Questions:[/color][/b][br][br][color=#000000]1) What geometric transformations took place in the applet above?[/color][br][color=#000000]  [/color][br][color=#000000]2) When working with the pentagon's interior angles, did any of these transformations [br] change the measures of these interior [/color][color=#000000]angles?  [br][br]3) From your observations, what is the sum of the measures of the interior angles of[br]    [i]any pentagon?  [br][/i][br]4) When working with the pentagon's exterior angles, did any of these transformations change the measures of these exterior a[/color][color=#000000]ngles? [i][br][br][/i]5) From your observations, what is the sum of the measures of the exterior angles of[br]    [i]any pentagon?  [/i][/color]

Information: Pentagon Angle Theorems